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Finding the Third Proportional to 48,590 and 73,035

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Solution

The third proportional to 48,590 and 73,035 is: 109,777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,590 : 73,035 = 73,035 : x
  2. Step 2: Convert to fraction form
    48,590/73,035 = 73,035/x
  3. Step 3: Cross multiply
    48,590x = 73,035 × 73,035
  4. Step 4: Simplify right side
    48,590x = 5,334,111,225
  5. Step 5: Solve for x
    x = 5,334,111,225/48,590
  6. Step 6: Final answer
    x = 109,777.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.